主頁 > Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton-Hooke symmetry |
Article | |
Report number | arXiv:0711.2644 ; CERN-PH-TH-2007-220 ; UB-ECM-PF-07-32 ; TOHO-CP-0786 ; CERN-PH-TH-2007-220 ; UB-ECM-PF-07-32 ; TOHO-CP-0786 |
Title | Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton-Hooke symmetry |
Author(s) | Alvarez, Pedro D. (Chile U., Santiago) ; Gomis, Joaquim (Barcelona U., ECM ; CERN) ; Kamimura, Kiyoshi (Toho U.) ; Plyushchay, Mikhail S. (Chile U., Santiago) |
Affiliation | (Univ. Santiago de Chile, Santiago 2, Chile) ; (Univ. Barcelona, Spain) ; (Toho Univ. Funabashi, Japan) |
Publication | 2008 |
Imprint | 19 Nov 2007 |
Number of pages | 12 |
In: | Phys. Lett. B 659 (2008) 906-912 |
DOI | 10.1016/j.physletb.2007.12.016 |
Subject category | Particle Physics - Theory |
Abstract | We investigate the planar anisotropic harmonic oscillator with explicit rotational symmetry as a particle model with non-commutative coordinates. It includes the exotic Newton-Hooke particle and the non-commutative Landau problem as special, isotropic and maximally anisotropic, cases. The system is described by the same (2+1)-dimensional exotic Newton-Hooke symmetry as in the isotropic case, and develops three different phases depending on the values of the two central charges. The special cases of the exotic Newton-Hooke particle and non-commutative Landau problem are shown to be characterized by additional, so(3) or so(2,1) Lie symmetry, which reflects their peculiar spectral properties. |
Copyright/License | Elsevier B.V. (License: CC-BY-3.0) |